Two identical loudspeakers separated by distance d emit 200Hz sound waves along the x-axis. As you walk along the axis, away from the speakers, you don't hear anything even though both speakers are on. What are the three lowest possible values for d? Assume a sound speed of 340m/s.

The three lowest possible values for d are 0.85 m, 2.55 m and 4.25 m.

Explanation:

Given that,

Distance = d

Frequency = 200 Hz

Speed of sound = 340 m/s

We need to calculate the wave length

Using formula of frequency

Put the value into the formula

We need to calculate the three lowest possible values for d

Using formula of destructive interference

Where, = distance

Put the value into the formula

For m = 0,

For m =1 ,

For m=2,

Hence, The three lowest possible values for d are 0.85 m, 2.55 m and 4.25 m.

inverse v=i*r

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